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Community detection in graphs
, 2009
"... The modern science of networks has brought significant advances to our understanding of complex systems. One of the most relevant features of graphs representing real systems is community structure, or clustering, i. e. the organization of vertices in clusters, with many edges joining vertices of th ..."
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The modern science of networks has brought significant advances to our understanding of complex systems. One of the most relevant features of graphs representing real systems is community structure, or clustering, i. e. the organization of vertices in clusters, with many edges joining vertices of the same cluster and comparatively few edges joining vertices of different clusters. Such
Optimizing Synchronization, Flow, and Robustness in Weighted Complex Networks
"... Summary. Complex biological, social, and technological systems can be often modeled by weighted networks. The network topology, together with the distribution of available link or node capacity (represented by weights) and subject to cost constraints, strongly affect the dynamics or performance of t ..."
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Summary. Complex biological, social, and technological systems can be often modeled by weighted networks. The network topology, together with the distribution of available link or node capacity (represented by weights) and subject to cost constraints, strongly affect the dynamics or performance of the networks. Here, we investigate optimization in fundamental synchronization and flow problems where the weights are proportional to (kik j) β with ki and k j being the degrees of the nodes connected by the edge. In the context of synchronization, these weights represent the allocation of limited resources (coupling strength), while in the associated random walk and current flow problems, they control the extent of hub avoidance, relevant in routing and search. In this Chapter, we review fundamental connections between stochastic synchronization, random walks, and current flow, and we discuss optimization problems for these processes in the above weighted networks. 1
DOI: 10.1140/epjst/e201201695x THE EUROPEAN PHYSICAL JOURNAL SPECIAL TOPICS Regular Article
, 2012
"... with open access at Springerlink.com ..."
Contents
, 903
"... We consider an Abelian Gauge Theory in R 4 equipped with the Minkowski metric. This theory leads to a system of equations, the KleinGordonMaxwell equations, which provide models for the interaction between the electromagnetic field and matter. We assume that the nonlinear term is such that the ene ..."
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We consider an Abelian Gauge Theory in R 4 equipped with the Minkowski metric. This theory leads to a system of equations, the KleinGordonMaxwell equations, which provide models for the interaction between the electromagnetic field and matter. We assume that the nonlinear term is such that the energy functional is positive; this fact makes the theory more suitable for physical models. A three dimensional vortex is a finite energy, stationary solution of these equations such that the matter field has nontrivial angular momentum and the magnetic field looks like the field created by a finite solenoid. Under suitable assumptions, we prove the existence of three dimensional vortexsolutions.
Advances in Complex Systems c ○ World Scientific Publishing Company Complex structures and semantics in free word association
, 2012
"... We investigate the directed and weighted complex network of free word associations in which players write a word in response to another word given as input. We analyze in details two large datasets resulting from two very different experiments: on the one hand the massive multiplayer webbased Word ..."
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We investigate the directed and weighted complex network of free word associations in which players write a word in response to another word given as input. We analyze in details two large datasets resulting from two very different experiments: on the one hand the massive multiplayer webbased Word Association Game known as Human Brain Cloud, and on the other hand the South Florida Free Association Norms experiment. In both cases the networks of associations exhibit quite robust properties like the small world property, a slight assortativity and a strong asymmetry between indegree and outdegree distributions. A particularly interesting result concerns the existence of a typical scale for the word association process, arguably related to specific conceptual contexts for each word. After mapping the Human Brain Cloud network onto the WordNet semantics network, we point out the basic cognitive mechanisms underlying word associations when they are represented as paths in an underlying semantic network.
Eur. Phys. J. Special Topics 214, 273–293 (2012) © The Author(s) 2012. This article is published with open access at Springerlink.com DOI: 10.1140/epjst/e201201695x THE EUROPEAN PHYSICAL JOURNAL SPECIAL TOPICS Regular Article
, 2012
"... Challenges in network science: Applications to infrastructures, climate, social systems and economics ..."
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Challenges in network science: Applications to infrastructures, climate, social systems and economics
Efficient mitigation strategies for epidemics in rural regions
"... Containing an epidemic at its origin is the most desirable mitigation. Epidemics have often originated in rural areas, with rural communities among the first affected. Disease dynamics in rural regions have received limited attention, and results of general studies cannot be directly applied since p ..."
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Containing an epidemic at its origin is the most desirable mitigation. Epidemics have often originated in rural areas, with rural communities among the first affected. Disease dynamics in rural regions have received limited attention, and results of general studies cannot be directly applied since population densities and human mobility factors are very different in rural regions from those in cities. We create a network model of a rural community in Kansas, USA, by collecting data on the contact patterns and computing rates of contact among a sampled population. We model the impact of different mitigation strategies detecting closely connected groups of people and frequently visited locations. Within those groups and locations, we compare the effectiveness of random and targeted vaccinations using a SusceptibleExposedInfectedRecovered compartmental model on the contact network. Our simulations show that the targeted vaccinations of only 10 % of the sampled population reduced the size of the epidemic by 34.5%. Additionally, if 10 % of the population visiting one of the most popular locations is randomly vaccinated, the epidemic size is reduced by 19 %. Our results suggest a new implementation of a highly effective strategy for targeted vaccinations through the use of popular locations in rural communities.
EPIDEMIC MITIGATION VIA AWARENESS PROPAGATION IN MULTILAYER NETWORKS
"... ch ni sc he Un ive rsi te it ..."